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GENERAL MATH EDUC 11 DRILL

Total questions: 71

Worksheet time: 35mins

Name
Class
Date
1.

Our school has 8 male teachers who comprise 25% of all our teachers. How many teachers do we have?

a)

40

b)

32

c)

24

d)

28

2.

How many hectares are there in a field measuring 980 m by 1300 m?

a)

128.6 ha

b)

120 ha

c)

115 ha

d)

127.4 ha

3.

A dish company needs to ship 117 glass bowls. The company will put the bowls into several equal boxes. How many boxes could the company use?

a)

12

b)

17

c)

11

d)

13

4.

What is 4995÷154995 ÷ 15?

a)

333

b)

350

c)

325

d)

320

5.

If 2 tbsp = 1 fl oz and 5 tbsp = 1/4 cup, how many fluid ounces are in 1 cup?

a)

4 oz

b)

10 oz

c)

16 oz

d)

8 oz

6.

Sarah is twice as old as her youngest brother. The difference between their ages is 15 years. How old is the youngest brother?

a)

25

b)

15

c)

10

d)

20

7.

A square has area 400 cm². What is the perimeter?

a)

20 cm

b)

80 cm

c)

100 cm

d)

40 cm

8.

If 500 (or 25%) of the graduating class are girls, how many are graduating in total?

a)

2000

b)

5000

c)

10000

d)

20000

9.

How many prime numbers are between 1 and 100 (inclusive)?

a)

23

b)

24

c)

25

d)

26

10.

Mr. Lucido deposited ₱225 in 5-peso and 10-peso bills. How many ₱10 bills did he deposit?

a)

13

b)

14

c)

15

d)

16

11.

If a picture frame is 27 cm long and 18 cm wide, what is the ratio length:width?

a)

3:2

b)

2:3

c)

3:5

d)

5:3

12.

In how many ways can a team of 2 players be chosen from 12 players?

a)

62

b)

64

c)

66

d)

72

13.

Find m in the proportion m/12= 30/24

a)

3

b)

15

c)

20

d)

25

14.

Elevator max load 606 kg. How many passengers of 50.5 kg each can it hold?

a)

12

b)

11.9

c)

11

d)

10

15.

For the fruit punch, 3050 mL of juice is needed. How much is that in dekaliters?

a)

0.305

b)

3.05

c)

5.03

d)

0.053

16.

The smallest angle is 2/3 the middle angle; the middle angle is 3/7 of the largest. Find the angles.

a)

30,60,90

b)

45,45,90

c)

35,45,110

d)

30,45,105

17.

To pass the English test Lucille must get 75% correct. Out of 80 items how many must she get right?

a)

55

b)

60

c)

70

d)

65

18.

The ratio of red:green:blue balls is 2:5:6. If there are 39 balls in all, how many are green?

a)

12

b)

15

c)

18

d)

20

19.

In a university the ratio of female:male professors is 8:5. If there are 75 male professors, how many female professors are there?

a)

120

b)

180

c)

225

d)

375/8

20.

A 737-model plane has 29 rows with 5 seats per row, except for the last three rows which had 3 seats each. What is the seating capacity of the plane?

a)

142

b)

139

c)

145

d)

135

21.

Julie spent one-sixth of her money in one store. In the next store she spent three times as much as she spent in the first store, and had ₱80 left. How much money did she have at the start?

a)

₱240

b)

₱252

c)

₱360

d)

₱300

22.

Which of these numbers is greater than 1/4?

a)

1/8

b)

1/0.04

c)

1/5

d)

1/10

23.

Give the factors of 2x³ + 9x² + 9x.

a)

x(2x - 3)(x + 3)

b)

x(2x + 3)(x + 3)

c)

(2x + 1)(x² + 9)

d)

x²(2x + 9)

24.

Joseph has more money than Mila but less than Billy. If Joseph, Mila and Billy are X, Y, Z respectively, which is true?

a)

Y < X < Z

b)

Y < Z < X

c)

X < Y < Z

d)

Z < X < Y

25.

What percent is ¾ of 5/6?

a)

65%

b)

90%

c)

62.5%

d)

75%

26.

A man started painting a wall at 9:00 AM and finished 3/5 of it at 10:30 AM. At this rate, at what time will he finish painting the wall?

a)

11:35 AM

b)

11:30 AM

c)

11:45 AM

d)

12:00 NN

27.

What is the equation of the line with slope -2 and y-intercept 3?

a)

2x + 3y = 6

b)

2x + y = 3

c)

y = 2x + 3

d)

y = -2x - 3

28.

How much larger is the supplement of a 57° angle than the complement of a 75° angle?

a)

108°

b)

18°

c)

123°

d)

75°

29.

The hypotenuse of a right triangle is 25 ft. If one leg is 24 ft, what is the other leg?

a)

20 ft

b)

7 ft

c)

12 ft

d)

15 ft

30.

Which is the length of the hypotenuse of a right triangle with legs 5 in. and 12 in.?

a)

17 in.

b)

13 in.

c)

14 in.

d)

15 in.

31.

What is the smallest number that can be divided exactly by 18, 20, 15?

a)

120

b)

180

c)

240

d)

300

32.

A teacher groups her students into groups of 3, 5 or 6. There will always be 1 student left. What is the least number of pupils in her class?

a)

31

b)

81

c)

61

d)

91

33.

The price of a book is ₱480 after a 20% discount. What is its original price?

a)

₱500

b)

₱600

c)

₱550

d)

₱650

34.

If y varies directly as x, and y = 24 when x = 6, what is y when x = 10?

a)

30

b)

36

c)

40

d)

44

35.

A car travels at 60 kph. How long will it take to travel 150 km?

a)

2 hours

b)

2.5 hours

c)

3 hours

d)

3.5 hours

36.

If 4 workers can finish painting a house in 12 days, how many days will it take 6 workers?

a)

6 days

b)

7 days

c)

8 days

d)

9 days

37.

The ratio of boys to girls in a class is 3:5. If there are 40 students, how many are boys?

a)

12

b)

15

c)

18

d)

20

38.

Two buses leave a station at 8:00 pm. One goes north at 30 kph, the other east at 40 kph. How far apart are they at 10:00 pm?

a)

80 km

b)

90 km

c)

100 km

d)

120 km

39.

The average of 5 test scores is 80. If four of the scores are 75, 85, 90, and 70, what is the missing score?

a)

75

b)

78

c)

80

d)

85

40.

An investment of ₱20,000 earns 6% simple interest per year. How much interest will it earn in 3 years?

a)

₱2,800

b)

₱3,000

c)

₱3,600

d)

₱4,200

41.

If ₱50,000 is invested at 5% compounded annually, what is the amount after 2 years?

a)

₱52,500

b)

₱55,000

c)

₱55,125

d)

₱56,250

42.

A box has 3 red balls and 5 blue balls. One ball is drawn at random. What is the probability it is red?

a)

1/8

b)

3/8

c)

5/8

d)

3/5

43.

The mean of 10 numbers is 25. If one number 35 is removed, what is the mean of the remaining 9 numbers?

a)

23

b)

24

c)

25

d)

26

44.

The perimeter of a rectangle is 60 cm. If the length is 5 cm longer than the width, find the dimensions.

a)

L = 15 cm, W = 10 cm

b)

L = 16 cm, W = 14 cm

c)

L = 17.5 cm, W = 12.5 cm

d)

L = 18 cm, W = 12 cm

45.

The cost of 3 pens and 2 notebooks is ₱110. If a notebook costs ₱25, how much is a pen?

a)

₱15

b)

₱20

c)

₱25

d)

₱30

46.

The function f(x) = 2x + 3. What is f(5)?

a)

10

b)

11

c)

12

d)

13

47.

The value of a car depreciates by 10% each year. If its current value is ₱900,000, what will be its value after 2 years?

a)

₱720,000

b)

₱729,000

c)

₱750,000

d)

₱810,000

48.

A shirt is sold for ₱720, which is 20% more than its cost. Find the cost price.

a)

₱600

b)

₱620

c)

₱650

d)

₱700

49.

If 2 dice are rolled, what is the probability that the sum is 7?

a)

1/12

b)

1/9

c)

1/6

d)

1/8

50.

A train leaves City A at 8:00 am at 60 kph. Another train leaves City B at 9:00 am toward City A at 90 kph. If the cities are 300 km apart, at what time will they meet?

a)

10:00 am

b)

10:30 am

c)

11:00 am

d)

11:30 am

51.

The height of a tree casts a shadow 15 m long. At the same time, a 2 m stick casts a shadow 3 m long. What is the height of the tree?

a)

8 m

b)

9 m

c)

10 m

d)

12 m

52.

In the following numbers, which digit is in the thousandths place? 5672.123498

a)

6

b)

4

c)

3

d)

9

53.

Which of these math sentences is incorrect?

a)

½ + 1/3 = 5/6

b)

1/3 + 1/4 = 7/12

c)

1/7 + 2/3 = 3/21

d)

1/6 + 1/8 = 14/48

54.

The least common multiple of 5, 2, 7 is ___?

a)

140

b)

35

c)

15

d)

70

55.

What is the amount due on 8,000 after adding the annual interest of 9%?

a)

11,720.00

b)

9,720.00

c)

8,720.00

d)

9,020.00

56.

Monica's scores: 80, 82, 83, 91. What score must she get next so her average is 85?

a)

92

b)

93

c)

89

d)

85

57.

The number of hours spent of review in Algebra, Chemistry, English is in the ratio of 4:3:1. In a 24-hour package, how many hours for Chemistry?

a)

3

b)

6

c)

9

d)

12

58.

Which decimal is equal to 3/100 + 2/100 + 5/1000?

a)

0.055

b)

0.325

c)

0.532

d)

0.235

59.

Triangle perimeter 50. Two sides equal, third is 5 more than equal side. Third side = ?

a)

5

b)

10

c)

15

d)

20

60.

Jestoni is 10 years older than his sister. If Jestoni was 25 in 1983, when was he born?

a)

1948

b)

1963

c)

1958

d)

1953

61.

Rectangular solid edges: 1.5 ft×12 ft×3 in. Volume in cubic inches?

a)

324

b)

225

c)

272

d)

27

62.

How many degrees between clock hands at 3:40?

a)

125

b)

140

c)

130

d)

150

63.

259:37259 : 37 as ____ ?

a)

5:1

b)

84:12

c)

25:4

d)

63:441

64.

4 1/5 + 3 2/7 =______

a)

    7 3/12

b)

    7 3/35

c)

7 17/35

d)

7 1/35

65.

Mario: 78,76,74. Kristyn: 72,82,74. How compare averages?

a)

Mario 1 point higher

b)

Mario 1 point lower

c)

Both averages same

d)

Mario 2 points lower

66.

If numbers 1 to 30 are written, how many times does digit 2 appear?

a)

11

b)

14

c)

12

d)

13

67.

Next number in 11120, 11260, 11420, 11600, ___ ?

a)

11820

b)

11760

c)

11720

d)

11800

68.

A water tank contains 8 liters when it is full. How many liters does it contain when it is 75% full?

a)

58

b)

15

c)

30

d)

60

69.

Which of these fractions has the largest value?

a)

3/4

b)

4/15

c)

12/24

d)

5/9

70.

The vertex angle of an isosceles triangle is 30. What is the measure of the one of the base angle?

a)

70

b)

75

c)

150

d)

60

71.

FAMILY NAME, NAME AND GROUP NUMBER ( APOR, ELIEDA, GROUP 3

4 lines